English

Recursive formulas for the Kronecker quantum cluster algebra with principal coefficients

Quantum Algebra 2022-09-20 v2 Rings and Algebras Representation Theory

Abstract

We use the quantum version of Chebyshev polynomials to explicitly construct the recursive formulas for the Kronecker quantum cluster algebra with principal coefficients. As a byproduct, we obtain two bar-invariant positive ZP\mathbb{ZP}-bases with one being the atomic basis.

Keywords

Cite

@article{arxiv.2111.00182,
  title  = {Recursive formulas for the Kronecker quantum cluster algebra with principal coefficients},
  author = {Ming Ding and Fan Xu and Xueqing Chen},
  journal= {arXiv preprint arXiv:2111.00182},
  year   = {2022}
}

Comments

corrected typos, to appear in Science China Mathematics

R2 v1 2026-06-24T07:18:50.522Z